中文摘要：

研究均匀各向同性黏弹性屈曲梁受基座简谐运动激励的横向非线性振动．在简支边界条件和强外激励的作用下，基于二阶Galerkin方法截断导出的数学模型，用多尺度法分析了存在1：2内共振时的主共振，由可解性条件导出稳态响应．发现幅频响应曲线存在多种跳跃现象．考察了各系数尤其是轴向压力对幅频响应曲线的影响．

英文摘要：

A nonlinear vibration analysis was conducted to determine the steady-state response of simply-supported viscoelastic axially buckled beams to harmonic base excitation. Based on the 2-order Galerkin truncation of the governing equation, and in the case of strong excitation, the solvability condition was derived with the multiple-scale method in the presence of 1：2 in- ternal resonance, to analyze the primary strong external resonance. Various jumping phenome- na were revealed in the amplitude-frequency characteristic curves, and the effects of related pa- rameters, especially the axial force, on the phenomena were examined.